Standing waves are produced in a string 16 m long. If there are 9 nodes between the two fixed ends of the string and the speed of the wave is 32 m/s, what is the frequency of the wave ?

Options

A. 5 Hz
B. 10 Hz
C. 30 Hz
D. 20 Hz

Answer

B

Explanation

Given, length of spring, `l=16` m
speed of wave, `v=32` m/s
and total number of nodes between the two fixed ends of the string `=9`
`:.` Total number of segments of vibration between fixed ends, `p=9+1=10`
`:.` frequency of the wave, `f=p/(2L)xxv`
`=10/(2xx16)xx32=10` Hz